Respuesta :
Answer:
f-g)(x)= | 7x + 1 | -6 Is correct
Step-by-step explanation:
Functions f(x) and g(x) are illustrations of composite functions.
The value of (f - g)(x) is |7x + 1| - 6
The functions are given as:
[tex]\mathbf{f(x) = |7x +1|- 8}[/tex]
[tex]\mathbf{g(x) = -2}[/tex]
The function (f - g)(x) is calculated using:
[tex]\mathbf{(f - g)(x) = f(x) - g(x)}[/tex]
So, we have:
[tex]\mathbf{(f - g)(x) = |7x + 1| - 8 - (-2)}[/tex]
Remove bracket
[tex]\mathbf{(f - g)(x) = |7x + 1| - 8 +2}[/tex]
Simplify
[tex]\mathbf{(f - g)(x) = |7x + 1| - 6}[/tex]
Hence, the value of (f - g)(x) is |7x + 1| - 6
Read more about composite functions at:
https://brainly.com/question/20379727